Enhancing the information of nonlinear SU(1, 1) quantum systems interacting with a two-level atom

Abd‐Rabbou, M. Y.; Ali, S. I.; Ahmed, M. M. A.

doi:10.1007/s11082-022-03936-w

Cited by 8 publications

(5 citation statements)

References 55 publications

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“…We define a diagonal matrix ρ dg abc for the three-qubit density matrix ρ abc by eliminating all off-diagonal entries. The relative entropy of coherence is defined as [44][45][46]:…”

Section: Tripartite Entanglement Negativitymentioning

confidence: 99%

The influence of Ohmic noise on the dynamics of three-spin open quantum system

Javed,

Salim,

Said

et al. 2024

Laser Phys.

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The dynamics of open quantum systems under decoherence effects remain a hotly debated topic in the case of the practical deployment of quantum information processing. In this regard, we examine how the three-qubit mixed state is affected by changes in the cut-off frequency of the Ohmic spectral density in a harmonic reservoir. Specifically, the degree of quantum memory-assisted entropic uncertainty (QMA-EU), along with the entanglement, coherence, and purity of the system, is to be demonstrated. A thorough exercise is done to investigate any underlying relationship between the three-qubit quantum characteristics. We show that a harmonic reservoir controlled by Ohmic noise prevails a monotonic-like decay in the current case where, sooner or later, the state becomes completely disentangled, decoherent, and mixed. The QMA-EU has always been found to have an increasing function causing the quantum resourcefulness to be reduced. Although, there is no pathway to avoid the Ohmic noise consequences and complete decay, however, we provided parameterization which would lead to prolonged preservation of quantum correlations with time. Finally, we provide various settings for the tuning of cut-off frequency regarding the Ohmic type bath and state parameters on the initial as well as final levels of quantum features.

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“…We define a diagonal matrix ρ dg abc for the three-qubit density matrix ρ abc by eliminating all off-diagonal entries. The relative entropy of coherence is defined as [44][45][46]:…”

Section: Tripartite Entanglement Negativitymentioning

confidence: 99%

The influence of Ohmic noise on the dynamics of three-spin open quantum system

Javed,

Salim,

Said

et al. 2024

Laser Phys.

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show abstract

“…In other words, it is a measure of how well the system can maintain its quantum properties without being disturbed by external influences. Coherence has been studied extensively in recent years and has been found to be essential for many quantum systems, such as, nonlinear SU (1, 1) quantum states [18], two-qubit system interacting with a deformed cavity [19], two coupled quantum dot molecules [20] and accelerated systems [21,22].…”

Section: Introductionmentioning

confidence: 99%

Depiction of an External Classical Field Effects on a Four-Level W-Configuration Atom Embedded in a Coherent Cavity Field

Ali

2023

Preprint

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This paper examines the dynamics of a W-configuration four-level atom in a quantized cavity field and the system driven by an external classical field. By applying some canonical transformations, we derive analytical solutions to the Schrdinger equation for the corresponding Hamiltonian. The effects of the external field parameters and detuning on the relative entropy of coherence, Wigner function, and Pancharatnam phase of the system are then analyzed. It is found that the external field parameter has a significant effect on the coherence of the system, while the detuning parameters may increase the maximum bounds of the coherence. In addition, the Wigner function is utilized to quantify the quantumness and classicality of the system in phase space. It is observed that the external field has a greater effect on the classicality of the system than the detuning parameters. Furthermore, the dynamics of the Pancharatnam phase displays rapid oscillations for large detuning values, whereas the external field diminishes the number of phase jumps.

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“…In this context, the local environmental description is preferable because it allows for a more comprehensive investigation of quantum systems with multiple degrees of freedom. The coherence dynamics for decreasing degrading effects have been researched both theoretically and experimentally for a range of quantum systems under varied noisy situations [21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Decoherence Effects in a Three-Level System under Gaussian Process

Zangi

Rahman

et al. 2022

Symmetry

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When subjected to a classical fluctuating field characterized by a Gaussian process, we examine the purity and coherence protection in a three-level quantum system. This symmetry of the three-level system is examined when the local random field is investigated further in the noiseless and noisy regimes. In particular, we consider fractional Gaussian, Gaussian, Ornstein–Uhlenbeck, and power law noisy regimes. We show that the destructive nature of the Ornstein–Uhlenbeck noise toward the symmetry of the qutrit to preserve encoded purity and coherence remains large. Our findings suggest that properly adjusting the noisy parameters to specifically provided values can facilitate optimal extended purity and coherence survival. Non-vanishing terms appear in the final density matrix of the single qutrit system, indicating that it is in a strong coherence regime. Because of all of the Gaussian noises, monotonic decay with no revivals has been observed in the single qutrit system. In terms of coherence and information preservation, we find that the current qutrit system outperforms systems with multiple qubits or qutrits using purity and von Neumann entropy. A comparison of noisy and noiseless situations shows that the fluctuating nature of the local random fields is ultimately lost when influenced using the classical Gaussian noises.

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Enhancing the information of nonlinear SU(1, 1) quantum systems interacting with a two-level atom

Cited by 8 publications

References 55 publications

The influence of Ohmic noise on the dynamics of three-spin open quantum system

The influence of Ohmic noise on the dynamics of three-spin open quantum system

Depiction of an External Classical Field Effects on a Four-Level W-Configuration Atom Embedded in a Coherent Cavity Field

Decoherence Effects in a Three-Level System under Gaussian Process

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